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Finding the Third Proportional to 34,238,202 and 69,672,138

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Solution

The third proportional to 34,238,202 and 69,672,138 is: 141,777,503.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,238,202 : 69,672,138 = 69,672,138 : x
  2. Step 2: Convert to fraction form
    34,238,202/69,672,138 = 69,672,138/x
  3. Step 3: Cross multiply
    34,238,202x = 69,672,138 × 69,672,138
  4. Step 4: Simplify right side
    34,238,202x = 4,854,206,813,491,044
  5. Step 5: Solve for x
    x = 4,854,206,813,491,044/34,238,202
  6. Step 6: Final answer
    x = 141,777,503.78

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.